The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 4 2 2 1 1 2 2 1 1 4 4 1 4 0 4 2 8 1 1 1 4 0 12 0 4 0 0 4 12 8 12 0 12 0 8 12 12 0 8 12 4 4 0 0 4 8 4 4 0 0 8 4 4 0 4 8 4 4 8 0 12 12 4 8 12 0 12 12 4 8 0 8 4 8 0 12 0 12 12 12 8 4 0 8 4 12 4 4 4 4 0 0 8 0 12 4 8 4 0 4 0 0 12 4 0 12 4 8 4 4 0 0 0 4 8 4 8 4 0 4 0 12 8 12 12 0 12 4 8 8 12 0 8 0 0 4 12 12 4 8 4 4 0 4 0 0 0 0 8 4 4 0 4 8 0 12 8 4 8 4 4 0 8 4 8 12 12 4 4 0 12 4 12 12 12 4 4 12 12 0 0 0 8 0 0 0 0 0 8 8 0 0 8 8 0 8 8 0 0 8 0 0 0 0 8 8 0 8 8 8 8 8 0 0 0 8 8 8 0 8 8 0 8 8 8 0 0 0 0 8 8 8 8 8 8 8 0 8 8 8 8 8 8 0 8 8 0 8 0 0 8 0 0 0 8 8 8 8 0 0 0 0 8 0 0 8 8 8 8 0 0 8 8 8 0 0 8 0 8 0 8 8 8 0 8 8 0 0 0 0 8 0 8 8 0 0 8 0 8 0 0 8 8 0 0 8 0 0 8 8 0 0 0 8 8 0 8 8 8 0 0 8 8 8 0 8 0 8 0 8 0 0 0 8 8 0 0 0 0 0 0 0 8 0 0 8 0 8 0 8 0 0 0 0 0 8 0 8 8 0 0 0 8 8 8 8 0 8 0 8 8 8 8 0 8 8 8 0 8 8 8 0 8 0 0 0 0 0 8 8 8 0 8 0 8 0 0 8 8 8 0 8 0 0 0 0 8 8 8 0 8 0 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 8 8 8 8 0 0 8 8 0 0 8 0 8 0 0 8 8 8 0 0 0 8 8 8 8 8 0 0 8 8 0 0 8 8 8 0 8 0 8 0 0 8 8 0 0 8 8 0 8 0 0 0 0 0 0 0 0 0 8 0 0 8 8 8 generates a code of length 79 over Z16 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+190x^72+28x^73+108x^74+152x^75+350x^76+484x^77+410x^78+720x^79+468x^80+484x^81+210x^82+152x^83+158x^84+28x^85+30x^86+80x^88+10x^90+28x^92+4x^96+1x^128 The gray image is a code over GF(2) with n=632, k=12 and d=288. This code was found by Heurico 1.16 in 72.3 seconds.